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Finding the Fourth Proportional to 16,470.36, 24,697.48 and 8,147.68

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Solution

The fourth proportional to 16,470.36, 24,697.48 and 8,147.68 is: 12,217.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,470.36 : 24,697.48 = 8,147.68 : x
  2. Step 2: Convert to fraction form
    16,470.36/24,697.48 = 8,147.68/x
  3. Step 3: Cross multiply
    16,470.36x = 24,697.48 × 8,147.68
  4. Step 4: Simplify right side
    16,470.36x = 201,227,163.85
  5. Step 5: Solve for x
    x = 201,227,163.85/16,470.36
  6. Step 6: Final answer
    x = 12,217.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.